Small fractional parts of polynomials

2016/02/12 by Roger Baker, Baker, Roger
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT #number theory

paper · pdf · doi:10.48550/arxiv.1602.04245

Several typos corrected

arxiv created 2016/03/02 · arxiv updated 2016/03/03

Abstract

Using the recent result of Bourgain, Demeter and Guth on Vinogradov's mean value, a number of new results about small fractional parts of polynomials and fractional parts of additive forms are obtained. These improve work of Baker, Cook, Danicic, Vaughan and Wooley.

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